21102000020112 has 160 divisors (see below), whose sum is σ = 62060218177536. Its totient is φ = 6115996902400.

The previous prime is 21102000020107. The next prime is 21102000020147.

21102000020112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154682812 + ... + 154819172.

Almost surely, 2^{21102000020112} is an apocalyptic number.

21102000020112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102000020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31030109088768).

21102000020112 is an abundant number, since it is smaller than the sum of its proper divisors (40958218157424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21102000020112 is a wasteful number, since it uses less digits than its factorization.

21102000020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149149 (or 149143 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 211020000 and 20112, that added together give a palindrome (211040112).

The spelling of 21102000020112 in words is "twenty-one trillion, one hundred two billion, twenty thousand, one hundred twelve".